Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119652a |
Isogeny class |
Conductor |
119652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
230304124986624 = 28 · 35 · 137 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79317,-8540559] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:174:1] [-160:169:1] |
Generators of the group modulo torsion |
j |
44660948992/186381 |
j-invariant |
L |
9.0990159568041 |
L(r)(E,1)/r! |
Ω |
0.2845552232816 |
Real period |
R |
2.664689549693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9204c1 |
Quadratic twists by: 13 |